问题
解答题
(1)
(2)6.8×
(3)
(4)1
|
答案
(1)
+1 1×2
+1 2×3
+…+1 3×4
,1 99×100
=(1-
)+(1 2
-1 2
)+(1 3
-1 4
)+(1 5
-1 5
)+…(1 6
-1 98
)+(1 99
-1 99
),1 100
=1-
,1 100
=
. 99 100
(2)6.8×
+0.32×4.2-8÷25,8 25
=6.8×
+8 25
×4.2-8 25
,8 25
=
×(6.8+4.2-1),8 25
=
×10,8 25
=3.2.
(3)
+1 1×5
+1 5×9
+…+1 9×13
×1 33
,1 37
=
×(1-1 4
)+1 5
×(1 4
-1 5
)+1 9
×(1 4
-1 9
)+…1 13
×(1 4
-1 33
),1 37
=
×(1-1 4
+1 5
-1 5
+1 9
-1 9
+…+1 13
-1 33
),1 37
=
×(1-1 4
),1 37
=
×1 4
,36 37
=
. 9 37
(4)1
-1 4
+9 20
-11 30
+13 42
,15 56
=1
-(1 4
+1 4
)+(1 5
+1 5
)-(1 6
+1 6
)+(1 7
+1 7
),1 8
=1
-1 4
-1 4
+1 5
+1 5
-1 6
-1 6
+1 7
+1 7
,1 8
=1+
,1 8
=1
.1 8